2(x+1)+3(2x+5)=11

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Solution for 2(x+1)+3(2x+5)=11 equation: 


Simplifying
2(x + 1) + 3(2x + 5) = 11

Reorder the terms:
2(1 + x) + 3(2x + 5) = 11
(1 * 2 + x * 2) + 3(2x + 5) = 11
(2 + 2x) + 3(2x + 5) = 11

Reorder the terms:
2 + 2x + 3(5 + 2x) = 11
2 + 2x + (5 * 3 + 2x * 3) = 11
2 + 2x + (15 + 6x) = 11

Reorder the terms:
2 + 15 + 2x + 6x = 11

Combine like terms: 2 + 15 = 17
17 + 2x + 6x = 11

Combine like terms: 2x + 6x = 8x
17 + 8x = 11

Solving
17 + 8x = 11

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + 8x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + 8x = 11 + -17
8x = 11 + -17

Combine like terms: 11 + -17 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75

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